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Finding the Fourth Proportional to 10,271.64, 14,127.84 and 8,466.42

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Solution

The fourth proportional to 10,271.64, 14,127.84 and 8,466.42 is: 11,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.64 : 14,127.84 = 8,466.42 : x
  2. Step 2: Convert to fraction form
    10,271.64/14,127.84 = 8,466.42/x
  3. Step 3: Cross multiply
    10,271.64x = 14,127.84 × 8,466.42
  4. Step 4: Simplify right side
    10,271.64x = 119,612,227.13
  5. Step 5: Solve for x
    x = 119,612,227.13/10,271.64
  6. Step 6: Final answer
    x = 11,644.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.